A 7-ft boom is held by a ball and socket at A and by two cables EBFand DC; cable EBFpasses around a frictionless pulley at B. Consider the force P= 390 lb. 3 ft - 3 ft→–4 ft– 4 ft
A 7-ft boom is held by a ball and socket at A and by two cables EBFand DC; cable EBFpasses around a frictionless pulley at B. Consider the force P= 390 lb. 3 ft - 3 ft→–4 ft– 4 ft
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Required information**
NOTE: *This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.*
A 7-ft boom is held by a ball and socket at \( A \) and by two cables \( EBF \) and \( DC \); cable \( EBF \) passes around a frictionless pulley at \( B \). Consider the force \( P = 390 \, \text{lb} \).
[Diagram Description]
The diagram shows a 3D representation of a structure with the following components:
- A boom \( AB \) inclined within an \( xyz \)-coordinate system. The boom is 7 feet long.
- The boom starts at a ball and socket joint at point \( A \) and extends towards \( B \).
- Cable \( EBF \) runs from point \( E \) at the \( y \)-axis, goes around a frictionless pulley at \( B \), and ends at point \( F \) along the \( z \)-axis.
- Cable \( DC \) runs horizontally from point \( D \) on the \( z \)-axis to point \( C \) on the \( x \)-axis, positioned 4 feet from \( B \).
- Distances are marked along the axes: 4 feet along \( x \), 6 feet up \( y \), and 4 feet along \( z \).
- A downward force \( P = 390 \, \text{lb} \) is applied at point \( C \).
**Determine the tension in each cable.**
The tension in cable \( EBF \) is \_\_\_\_ lb.
The tension in cable \( DC \) is \_\_\_\_ lb.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffc9e826-c865-4bea-8e1f-6dcccd31bfb0%2F89927ed0-fbd2-438c-ac33-46dff28270a8%2Fgk0lwqe_processed.png&w=3840&q=75)
Transcribed Image Text:**Required information**
NOTE: *This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.*
A 7-ft boom is held by a ball and socket at \( A \) and by two cables \( EBF \) and \( DC \); cable \( EBF \) passes around a frictionless pulley at \( B \). Consider the force \( P = 390 \, \text{lb} \).
[Diagram Description]
The diagram shows a 3D representation of a structure with the following components:
- A boom \( AB \) inclined within an \( xyz \)-coordinate system. The boom is 7 feet long.
- The boom starts at a ball and socket joint at point \( A \) and extends towards \( B \).
- Cable \( EBF \) runs from point \( E \) at the \( y \)-axis, goes around a frictionless pulley at \( B \), and ends at point \( F \) along the \( z \)-axis.
- Cable \( DC \) runs horizontally from point \( D \) on the \( z \)-axis to point \( C \) on the \( x \)-axis, positioned 4 feet from \( B \).
- Distances are marked along the axes: 4 feet along \( x \), 6 feet up \( y \), and 4 feet along \( z \).
- A downward force \( P = 390 \, \text{lb} \) is applied at point \( C \).
**Determine the tension in each cable.**
The tension in cable \( EBF \) is \_\_\_\_ lb.
The tension in cable \( DC \) is \_\_\_\_ lb.
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